Add 35/72 and 14/16
35/72 + 14/16 is 49/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 72 × 2 = 144,
35/72 = 35 × 2/72 × 2 = 70/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
14/16 = 14 × 9/16 × 9 = 126/144 - Add the two like fractions:
70/144 + 126/144 = 70 + 126/144 = 196/144 - 196/144 simplified gives 49/36
- So, 35/72 + 14/16 = 49/36
In mixed form: 113/36
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